# Code for Table M4: Placebo Test

rm(list = ls())

## ---------------------------------------
## Load Packages 
## ---------------------------------------

library('AER')
library('ivpack')
library('dplyr')
library('data.table')

## ---------------------------------------
## Load Data and Functions
## ---------------------------------------
load("../data0812.RData")

directory <- "../functions/"
functions <- list.files(directory)  
loadfunctions <- sapply(functions, FUN = function(x)source(paste0(directory, x)))

## ---------------------------------------
# Construct Instrument
## ---------------------------------------
data0812 <- constructIV(data0812)

## ---------------------------------------
#  Select Last Case Before Election
## ---------------------------------------
data0812 <- lastCase(data0812)

# drop defendants too young to vote in 2008 election
data0812 <- data0812[noteli08 == 0, ]


## ---------------------------------------
## Two Stage Least Squares Specifications
## ---------------------------------------
time.controls <- "as.factor(court_time1) + as.factor(court_time2) + as.factor(court_dow) + as.factor(court_shift) + as.factor(totOGS2)"
case.controls <-   "as.factor(any_drug_2) +  as.factor(any_violent_2) + as.factor(fire_arms_2) +  as.factor(any_rob_2) + as.factor(any_dui_2) + as.factor(prior_offender_2)"
demo.controls <- "age_2012 + I(age_2012^2) + Female + as.factor(race)"

outc.1 <- "vote2008"
endo.1 <- "pti"
inst.1 <- "judgeiv"

form.1 <- formula(paste(outc.1, "~", endo.1, "+" , time.controls, "|", inst.1, "+", time.controls))
form.2 <- formula(paste(outc.1, "~", endo.1, "+" , time.controls, "+", demo.controls, "|", inst.1, "+", time.controls, "+", demo.controls))
form.3 <- formula(paste(outc.1, "~", endo.1, "+" , time.controls, "+", demo.controls, "+", case.controls, "|", inst.1, "+", time.controls, "+", demo.controls, "+", case.controls))

m1a1 <- ivreg(form.1, data = data0812)
m1a2 <- ivreg(form.2, data = data0812)
m1a3 <- ivreg(form.3, data = data0812)

m1a1D <- summary(m1a1, vcov = sandwich, diagnostic = T)$diagnostics[1, 3]
m1a2D <- summary(m1a2, vcov = sandwich, diagnostic = T)$diagnostics[1, 3]
m1a3D <- summary(m1a3, vcov = sandwich, diagnostic = T)$diagnostics[1, 3]

cont <- data.table(round(rbind(c(robust.se(m1a1)[2, c(1:2,4)], 
                                 robust.se(m1a2)[2, c(1:2,4)], 
                                 robust.se(m1a3)[2, c(1:2,4)]),
                               c(m1a1D, NA, NA, m1a2D, NA, NA, m1a3D, NA, NA),
                               c(dim(data0812)[1], NA, NA, dim(data0812)[1], NA, NA, dim(data0812)[1], NA, NA),
                               rep(NA, 9)), 3))
cont

cont <- data.table(round(rbind(c(robust.se(m1a1)[2, c(1)], robust.se(m1a2)[2, c(1)], robust.se(m1a3)[2, c(1)]),
                               c(robust.se(m1a1)[2, c(2)], robust.se(m1a2)[2, c(2)], robust.se(m1a3)[2, c(2)]),
                               c(m1a1D, m1a2D, m1a3D),
                               c(m1a1$n, m1a2$n, m1a3$n)
),3))

cat("\nPrinting Table M4: Placebo Test...\n")
colnames(cont) <- c("(1)", "(2)", "(3)")
# add row labels
cont$names <-  c("Pretrial Incarceration (PTI)",
                 "Std. Error",
                 "F-test", 
                 "Obs.")
cont <- cont[, c("names", "(1)", "(2)", "(3)")]

print(cont)

